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Finding the Fourth Proportional to 9,978.03, 13,760.07 and 6,568.92

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Solution

The fourth proportional to 9,978.03, 13,760.07 and 6,568.92 is: 9,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.03 : 13,760.07 = 6,568.92 : x
  2. Step 2: Convert to fraction form
    9,978.03/13,760.07 = 6,568.92/x
  3. Step 3: Cross multiply
    9,978.03x = 13,760.07 × 6,568.92
  4. Step 4: Simplify right side
    9,978.03x = 90,388,799.02
  5. Step 5: Solve for x
    x = 90,388,799.02/9,978.03
  6. Step 6: Final answer
    x = 9,058.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.